From a tower of height \( H \), a particle is thrown vertically upwards with a speed \( u \). Th...

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From a tower of height \( H \), a particle is thrown vertically upwards with a speed \( u \). The time taken by the particle, to hit the ground, is \( n \) times that taken by it to reach the highest point of its path. The relation between \( H, u \) and \( n \) is
[JEE (Mains) 2014]
(a) \( 2 g H=n^{2} u^{2} \)
(b) \( g H=(n-2)^{2} u^{2} \)
(c) \( 2 g H=n u^{2}(n-2) \)
(d) \( g H=(n-2) u^{2} \)
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